Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

273×

body

valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	4
1	44	4
2	82	4
3	132	4
4	175	4
5	208	4
6	221	4
7	221	4

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 6.8b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
6.8b	(/ x (/ (* z (- y t)) 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

306×	`times-frac`
207×	`add-sqr-sqrt`
179×	`*-un-lft-identity`
151×	`add-cube-cbrt`
70×	`associate-r`
49×	`associate-/r*`
42×	`associate-l`
22×	`associate-/r/`
17×	`associate-/l*`
14×	`*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
13×	`add-exp-log` `add-cbrt-cube`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`pow1` `associate-*r/`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 251

Calls

2 calls:

6.0ms	(* z (- y t))
20.0ms	(/ x (/ (* z (- y t)) 2.0))

series95.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* z (- y t))
55.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

257 → 257

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1080	2171
1	5001	2097

prune433.0ms

Filtered

257 candidates to 189 candidates (26.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	253	4	257
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	253	5	258

Merged error: 0b

Counts

258 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y t))
4.8b	(/ (/ x (- y t)) (/ z 2.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
390×	`add-sqr-sqrt` `*-un-lft-identity`
296×	`add-cube-cbrt`
47×	`distribute-lft-out--` `difference-of-squares`
39×	`associate-/r/`
38×	`div-inv`
30×	`associate-/l*`
26×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
15×	`flip3--` `flip--`
11×	`associate-/l/`
9×	`cbrt-undiv` `div-exp`
4×	`frac-2neg` `clear-num`
2×	`pow1` `add-log-exp`

Counts

2 → 382

Calls

2 calls:

6.0ms	(/ x (- y t))
23.0ms	(/ (/ x (- y t)) (/ z 2.0))

series138.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ x (- y t))
102.0ms	(/ (/ x (- y t)) (/ z 2.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

388 → 388

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	1804	4275
1	5002	4163

prune713.0ms

Filtered

388 candidates to 285 candidates (26.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	388	0	388
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	388	5	393

Merged error: 0b

Counts

393 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

5.7b	(/ (/ x z) (/ (- y t) 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

637×	`times-frac`
357×	`add-sqr-sqrt` `*-un-lft-identity`
271×	`add-cube-cbrt`
43×	`distribute-lft-out--` `difference-of-squares`
35×	`div-inv`
25×	`associate-/r*`
21×	`associate-/l*`
13×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l/`
8×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
1×	`pow1` `flip3--` `flip--` `add-log-exp`

Counts

1 → 319

Calls

1 calls:

18.0ms

(/ (/ x z) (/ (- y t) 2.0))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(/ (/ x z) (/ (- y t) 2.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	1647	3720
1	5002	3629

prune875.0ms

Filtered

322 candidates to 232 candidates (28.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	320	2	322
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	322	5	327

Merged error: 0b

Counts

327 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ (/ 1 1) (* (/ (- y t) 2.0) (/ z x)))
5.8b	(* (/ (- y t) 2.0) (/ z x))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

1331×	`times-frac`
958×	`add-sqr-sqrt`
780×	`*-un-lft-identity`
648×	`add-cube-cbrt`
285×	`associate-l`
234×	`frac-times`
202×	`associate-/l*`
195×	`associate-r`
188×	`associate-/r*`
141×	`associate-/r/`
135×	`add-exp-log`
87×	`div-exp`
73×	`div-inv`
65×	`distribute-lft-out--` `difference-of-squares`
60×	`unswap-sqr`
55×	`add-cbrt-cube`
52×	`clear-num`
50×	`frac-2neg`
49×	`associate-/l/`
32×	`prod-exp`
27×	`cbrt-undiv`
26×	`associate-*l/`
25×	`1-exp`
20×	`flip3--` `flip--`
18×	`associate-*r/`
15×	`*-commutative`
12×	`cbrt-unprod`
10×	`rec-exp`
4×	`pow1` `un-div-inv`
2×	`add-log-exp`
1×	`pow-prod-down`

Counts

2 → 986

Calls

2 calls:

57.0ms	(/ (/ 1 1) (* (/ (- y t) 2.0) (/ z x)))
21.0ms	(* (/ (- y t) 2.0) (/ z x))

series222.0ms

Counts

2 → 6

Calls

2 calls:

144.0ms	(/ (/ 1 1) (* (/ (- y t) 2.0) (/ z x)))
78.0ms	(* (/ (- y t) 2.0) (/ z x))

simplify226.0ms

Algorithm

egg-herbie

Counts

992 → 992

Iterations

Useful iterations: 1 (92.0ms)

Iter	Nodes	Cost
0	4434	10048
1	5001	9414

prune972.0ms

Filtered

992 candidates to 378 candidates (61.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	991	1	992
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	993	4	997

Merged error: 0b

Counts

997 → 4

regimes123.0ms

Accuracy

59.3% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.6b

bsearch86.0ms

Steps

Iters	Range		Point
7	4.3601162079471817e-69	4.958097414009365e-67	4.2497445702391346e-67
10	-2.504245507287587e+31	-1.812800334173352e+17	-9.62151154290069e+22

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	12
1	22	12

end0.0ms

sample500.0ms

Algorithm

intervals

Results

273.0ms

8678×

body

valid